What is expand (a-b)(a^2-2ab+b^2) ?

The solution to expand (a-b)(a^2-2ab+b^2) is a^3+3ab^2-b^3-3a^2b

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expand (a-b)(a^2-2ab+b^2)

expand

(a - b) (a^{2} - 2 ab + b^{2})

a^{3} + 3 a b^{2} - b^{3} - 3 a^{2} b

Solution steps

(a - b) (a^{2} - 2 ab + b^{2})

Distribute parentheses

= a a^{2} + a (- 2 ab) + a b^{2} - b a^{2} - b (- 2 ab) - b b^{2}

Simplify

a a^{2} + a (- 2 ab) + a b^{2} - b a^{2} - b (- 2 ab) - b b^{2} : a^{3} + 3 a b^{2} - b^{3} - 3 a^{2} b

= a^{3} + 3 a b^{2} - b^{3} - 3 a^{2} b

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What is expand (a-b)(a^2-2ab+b^2) ?
The solution to expand (a-b)(a^2-2ab+b^2) is a^3+3ab^2-b^3-3a^2b